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A blending model for parametrically defined geometric objects
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Source ACM Symposium on Solid and Physical Modeling archive
Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications table of contents
Austin, Texas, United States
Pages: 339 - 347  
Year of Publication: 1991
ISBN:0-89791-427-9
Authors
Ai-Ping Bien  Department of Computer Science, University of Kentucky, Lexington, KY
Fuhua Cheng  Department of Computer Science, University of Kentucky, Lexington, KY
Sponsor
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 4,   Downloads (12 Months): 12,   Citation Count: 3
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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Charrot, P. and Gregory, J., "A pentagonal surface patch for computer aided geometric design," Computer Aided Geometric Design I pp. 87-94 (1984).
 
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Cheng, F. and Bien, A.P., "Estimating Subdivision Depths for Rational Bezier Curves and Surfaces," to appear in ACM Trans. on Graphics. Also, (1990).
 
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Dokken, T., "Finding intersections of B-spline represented geometries using recursive subdivision techniques," Computer Aided Geometric Design 2 pp. 191-196 (1984).
 
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Gordon, W., "Distributive Lattices and the Approximarion of Multivariate Functions," Approximation with Special Emphasis on Spline Functions, pp. 223-277 Academic Press, (1969).
 
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S.C. Hanna, F. J. Abel, and D. P. Greenberg, "Intersection of Parametric Surfaces by Means of Look-up Tables," IEEE Corr~uter Graphics and Applications 3(7) pp. 39-48 (1983).
 
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Hoffmann, C. and Hopcroft, J., "The Potential Methods for Blending Surfaces and Comers," pp. 347-366 in Geometric Modeling: Algorithms and New Trends, ed. G.E. Farin,SIAM, Philadelphia, Penn. (1987).
 
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E.G. Houghton, R. F. Emnett, J. D. Factor, and C. L. Sabharwal, "Implementation of a divide-andconquer method for intersection of parametric surfaces," Computer Aided Geometric Design 2 pp. 173-183 (1985).
 
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J.X. Levin, "Mathematical Models for Determining the intersections of Quadric Surfaces," Computer Graphics and image Processing 11 pp. 73-87 (1979).
 
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G.M. Nielson, Computer-Aided Geometric Design, Academic Press, New York (1974).
 
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G. M. Nielson, "Rectangular nu-Splines," IEEE Computer Graphics and Applications 6(2)pp. 58-67 (Feb. 1986).
 
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Rockwood, A.P. and Owen, J.C., "Blending Surfaces in Solid Modeling," pp, 367-384 in Geometric Modeling: Algorithms and New Trends, ed. G.E. Farin,SiAM, Philadelphia, Penn. (1987).
 
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Q.S. Peng, "An Algorithm for Finding the Intersection Lines between Two B-spline Surfaces," Computer AidedDesign 10(4) pp. 191-196 (1984).
 
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Rossignac, J.D. and Requicha, A.G., "A constantradius blending in solid modeling," Comput. Mech. Eng., pp. 65-73 (July 1984).
 
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Lane, J.M. and Riesenfeld, R.F., "A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces," IEEE Trans. on Pattern Analysis & Machine Intelligence PAMI-2(1) pp. 35-46 (Jan. 1980).
 
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R.F. Sarraga, "Algebric Methods for Intersections of Quadric Surfaces in GMSOLID," Computer Vision, Graphics and Image Processing 22 pp. 222-238 (1983).
 
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Collaborative Colleagues:
Ai-Ping Bien: colleagues
Fuhua Cheng: colleagues